Higher order generalized Euler characteristics and generating series

JOURNAL OF GEOMETRY AND PHYSICS

卷:95

Article

Gusein-Zade, S. M.¹  Luengo, I.^2,3  Melle-Hernandez, A.^2,3 

[1] Moscow MV Lomonosov State Univ, Fac Math & Mech, Moscow 119991, Russia

[2] Univ Complutense Madrid, Dept Algebra, E-28040 Madrid, Spain

[3] ICMAT CSIC UAM UC3M UCM, Madrid, Spain

关键词: Complex quasi-projective varieties;    Finite group actions;    Orbifold Euler characteristic;    Wreath products;    Generating series;   

DOI  :  10.1016/j.geomphys.2015.04.009

来源: Elsevier

【 摘 要 】

For a complex quasi-projective manifold with a finite group action, we define higher order generalized Euler characteristics with values in the Grothendieck ring of complex quasi-projective varieties extended by the rational powers of the class of the affine line. We compute the generating series of generalized Euler characteristics of a fixed order of the Cartesian products of the manifold with the wreath product actions on them. (C) 2015 Elsevier B.V. All rights reserved.

【 授权许可】

Free